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Finding the Fourth Proportional to 398,238.36, 549,564.66 and 228,499.08

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Solution

The fourth proportional to 398,238.36, 549,564.66 and 228,499.08 is: 315,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,238.36 : 549,564.66 = 228,499.08 : x
  2. Step 2: Convert to fraction form
    398,238.36/549,564.66 = 228,499.08/x
  3. Step 3: Cross multiply
    398,238.36x = 549,564.66 × 228,499.08
  4. Step 4: Simplify right side
    398,238.36x = 125,575,019,210.51
  5. Step 5: Solve for x
    x = 125,575,019,210.51/398,238.36
  6. Step 6: Final answer
    x = 315,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.